A bijection between the triangulation of the associahedron and the parking functions

In the late 1950s, Sugawara successfully tackled the problem of characterizing spaces homotopically equivalent to a space of loops. He established a recognition principle based on homotopic invariants. Later, in 1961, J. Stasheff introduced the associahedron as a tool to simplify the Sugawara recogn...

• Main Author: Zhigue Álvarez, Dayana Mishel (author)
• Format: bachelorThesis
• Language: eng
• Published: 2024
• Subjects: Permutahedron; Particiones no cruzadas; Funciones de estacionamiento; Non-croosing partitions; Parking functions
• Online Access: http://repositorio.yachaytech.edu.ec/handle/123456789/761